There are 4 of us traveling from the Zurich airport to Lech Austria for two weeks then to Wengen Switzerland for a week then back to the Zurich airport. What is the best method of purchasing train tickets?
This is a duplicate thread. See my answer here: https://community.ricksteves.com/travel-forum/switzerland/train-travel-a378e9c2-a9c6-437e-92de-44fea082f4cd
Go to http://www.sbb.ch/en/home.html
Put in Zurich airport, St Anton am Arlberg, and your date of travel and you will see your options.
Looks like full fare is 59 CHF, but there is a nonrefundable, nonchangeable ticket offered for 29 CHF. If you miss your train, that ticket becomes worthless. I've done this, leaving about 4 hours from flight arrival and train departure and I lucked out. You can take an earlier train to Zurich Hbf, store your luggage in a locker and nose around Zurich until the your train to St Anton departs. At St Anton, get a bus to Lech.
You can also get something off the train to Wengen, since the St Anton-Zurich leg is subject to discounts.
Wengen to Zurich airport might also have a nonrefundable discount by clicking the "Supersaver" button when you go through the ticket purchase process.